Question

unit: equations and inequalities homework 5 solving one ... find and graph the solution set for 1. $-7.5k geq -82.5$ number line 2. ...

Explanation:

Step1: Divide both sides by -7.5

When dividing an inequality by a negative number, the inequality sign flips. So we have $\frac{-7.5k}{-7.5} \leq \frac{-82.5}{-7.5}$

Step2: Simplify both sides

Simplifying the left side gives $k$, and simplifying the right side: $\frac{-82.5}{-7.5} = 11$. So $k \leq 11$

Answer:

The solution to the inequality $-7.5k \geq -82.5$ is $k \leq 11$. To graph this, we draw a number line, place a closed circle at 11 (since the inequality is "less than or equal to"), and shade to the left of 11.